1295311680 has 336 divisors, whose sum is σ = 4967660880. Its totient is φ = 307593216.

The previous prime is 1295311669. The next prime is 1295311691. The reversal of 1295311680 is 861135921.

It is an interprime number because it is at equal distance from previous prime (1295311669) and next prime (1295311691).

It can be written as a sum of positive squares in 8 ways, for example, as 77580864 + 1217730816 = 8808^2 + 34896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085164 + ... + 1086356.

It is an arithmetic number, because the mean of its divisors is an integer number (14784705).

Almost surely, 2^1295311680 is an apocalyptic number.

1295311680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1295311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483830440).

1295311680 is an abundant number, since it is smaller than the sum of its proper divisors (3672349200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1295311680 is a wasteful number, since it uses less digits than its factorization.

1295311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1295311680 is about 35990.4387303072. The cubic root of 1295311680 is about 1090.0793029303.

The spelling of 1295311680 in words is "one billion, two hundred ninety-five million, three hundred eleven thousand, six hundred eighty".